Article ID: | iaor20122893 |
Volume: | 62 |
Issue: | 4 |
Start Page Number: | 890 |
End Page Number: | 897 |
Publication Date: | May 2012 |
Journal: | Computers & Industrial Engineering |
Authors: | Dudin Alexander, Klimenok Valentina, Kim Chesoong, Dudin Sergey |
Keywords: | markov processes, matrices |
Analysis of the joint distribution of the number of sessions and requests in the system is implemented by means of the matrix technique. Analysis of the sojourn time of an arbitrary and admitted session is performed by means of the extension of the method of catastrophes. Effect of control on the main performance measures of the system is numerically demonstrated. This paper describes and analyzes a single‐server queueing model with a finite buffer and session arrivals. Generation of the sessions is described by the Markov Arrival Process (